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Algebra

Equality

In a basketball game scrimmage, the Toros scored a total of 103 points and made three times as many field goals (2 points each) as free throws (1 point each). They also made eleven 3 point baskets. How many field goals and free throws were made?

Equalities

A motor home a leaves a rally and travels west going 80mph, Motorhome B leaves 2 hours before and travels westbound going 60mph. When will the two motorhomes pass each other?

Equalities

Find 2 consecutive numbers that the difference of their reciprocals is 1/7 the reciprocal of the smaller number.

Equalities

Students are traveling in two cars to a football game 135 miles away. The first car leaves on time at an average speed of 45 mph. The second car starts 30 minutes later at an average speed of 55 mph. How long will it take for the second car to catch up to the first car? Will the second car catch the first car before it arriv

Equalities

On the first part of a 317 mile trip, Leah averaged 58 miles per hour. She averaged only 52 mph on the last part of the trip because of an increased volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time that Leah spent driving each speed.

Simple Statistics word problem - 100 soldiers are required...

As a test 100 soldiers are required to complete 9 weeks of training 18 percent of them fail due to the short period of 9 weeks. If 2 more weeks are added, what would be the percentage of failures? Feel free to answer in an attachment if needed. I need to see how to solve this type problem in a statistical manner. You may a

Application Word Problems : Velocity, Distance and Cost of Production

A 40,000 lb. rocket is launched from sea level straight up, then falls back to earth. The total flight time was 160 seconds. The rocket reached it's apex in 1 minute and 20 seconds. What altitude did the rocket reach before falling back to earth....in miles? The assembly operation takes two minutes for an operator to perfor

Application Word Problems : Velocity and Distance

An object is thrown horizontally from the top of a building from an elevation of 64 feet above ground level. The velocity of the object is 56 miles per hour. How far, horizontally will the ball travel before reaching the ground? A. less than 170 feet. B. less than 160 feet. C. Each of the above D. None of the above A

Word problem

The word problem below was given to me to answer but I am stumped! #1,2,3 and 4 (below) were given to me as possible answers but I can't seem to make one fit??? Can someone help? A project that will cost $750,000 will require payments as certain milestones are met. The initial payment is $50,000. When 30% of the work is comp

Arithmetic sequence

How do I find the 40th term of the arithmetic sequence knowing the general term An=(Asubscript n -1)n-3? The first term in A1=9

Geometric sequence

Using the formular Sn find the sum for the geometric sequence 6 (3) E (/) (3)i i-1 (2)

Systems of equations

Did I do this problem correctly? 9x-3y=12 y=3x-4 9x-3(3x-4)=12 9x-9x-12=12 would this answer be 0?? I used the substitution method

Solving a quartic equation

I can not factor or group this to set it equal to zero to determine the solution. Can you help me? 4x^4-65x^2+16=0

Solving a word problem - Budget prepared by Dick and Jane

This is a sample budget prepared by Dick and Jane who are both employed. Dick is paid weekly and brings home a check for $350.00 each week. Jane is paid every two weeks and brings home a check for $500.00 each pay day. Jane sometimes receives an additional amount for paid overtime and Dick receives a bonus from time to time.

Solve by the elimination method.

Solve by the elimination method. -------------------------------------------------------------------------------- Solution 2x+3y=4 10x-6y=3 than I multiplying the first equation by 10 and the second equation by -2. 20x+30y=4 <= should be 40 -20x+12y=-6 =>42y=34 => y=17/21, x=11/14 How do I solve for (y

Solve by the elimination method.

What am I doing wrong? 1/3x + 1/2y=2/3 2/3x-2/5=1/5 I am multiplying the first equation by 6 and the second by 15. My results: 2x+3y=4 10x-6y=3 than I multiplying the first equation by 10 and the second equation by -2. 20x+30y=4 -20x+12y=-6 when I go solve it, I do not get the same answer which is 11/14,17/2

Percentage

How much pure water must be mixed with 8 pints of 70% developer to produce a mixture that is 13% developer?

Word problem

I've attached the file. I need to know if I'm going in the right direction (in the red font), if not could you explain? (See attached file for full problem description) --- A person has 14 close friends. (a) How many ways can she invite 8 of her 14 close friends to a holiday get-together. Explain. (b) Suppose tha

Word problem proof

Six friends discover they have a total of $21.61 with them. Show that one or more of them must have $3.61. (Hint, use the Pigeonhole Principle.)

Finding Products and Simplifying Exponents

Please help with the following problems. I need more detail on each problem how the solution was achieved using these steps. Thanks for your help. 2. Find the product: (x - 2)(x + 3)(x - 4) (x - 2)(x + 3)(x - 4) = 3. Simplify without having negative exponents: (- 3s-3t2)-2 (- 3s-3t2)-2 4. Conve

Education IRA : Recursive Formula

On January 1, 1999, John's parents decide to place $45 at the end of each month into an Education IRA. a) Find a recursive formula that represents the balance at the end of the month if the rate of return is assumed to be 6% per annum compounded monthly. b) How long will it be before the value of the account exceeds $4000?

Radioactive Decay

The attached file will tell you exactly what I need. Radioactive Decay Iodine 131 is a radioactive material that decays according to the function A(t) = A where A0 is the initial amount present and A is the amount present at time t (in days). Assume that a scientist has a sample of 100 grams of iodine 131. a. What is the